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117040100 = 225223151337
BaseRepresentation
bin1101111100111…
…10001111100100
322011020020211112
412332132033210
5214430240400
615340324152
72620552532
oct676361744
9264206745
10117040100
116007aa61
1233243658
131b32b8c8
1411789152
15a41d835
hex6f9e3e4

117040100 has 72 divisors (see below), whose sum is σ = 267566208. Its totient is φ = 44352000.

The previous prime is 117040093. The next prime is 117040111. The reversal of 117040100 is 1040711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347132 + ... + 347468.

Almost surely, 2117040100 is an apocalyptic number.

117040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783104).

117040100 is an abundant number, since it is smaller than the sum of its proper divisors (150526108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117040100 is a wasteful number, since it uses less digits than its factorization.

117040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 117040100 is about 10818.5072907495. The cubic root of 117040100 is about 489.1531951993.

Adding to 117040100 its reverse (1040711), we get a palindrome (118080811).

The spelling of 117040100 in words is "one hundred seventeen million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 151 230 302 337 460 575 604 674 755 1150 1348 1510 1685 2300 3020 3370 3473 3775 6740 6946 7550 7751 8425 13892 15100 15502 16850 17365 31004 33700 34730 38755 50887 69460 77510 86825 101774 155020 173650 193775 203548 254435 347300 387550 508870 775100 1017740 1170401 1272175 2340802 2544350 4681604 5088700 5852005 11704010 23408020 29260025 58520050 117040100